tack cloth.
it's like gauze or (more recently) microfiber with sticky resin impregnated into it. you just wipe it down lightly and everything sticks to it. if you don't wipe hard with it, it won't leave any residue. if it does leave a residue, just wipe the piece down with a rag with some lacquer thinner.
you just have to be careful you don't allow any water/solvents etc. you use to be absorbed into the wood (especially the cut edges.) or it's going to swell up on you like a depressed ex.